Positive periodic solutions of infinite delay functional differential equations depending on a parameter

2004 ◽  
Vol 150 (1) ◽  
pp. 159-168 ◽  
Author(s):  
Ping Liu ◽  
Yongkun Li
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Functional Differential

scholarly journals Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
Zhenguo Luo ◽  
Liping Luo ◽  
Yunhui Zeng
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Special Cases ◽  
Functional Differential ◽  
Two Parameters

We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the literature. As an application, we study some special cases of systems, which have been studied extensively in the literature.

scholarly journals Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhang Suping ◽  
Jiang Wei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Functional Differential Equations ◽  
Higher Dimension ◽  
Positive Periodic Solutions ◽  
Krasnoselskii Fixed Point Theorem ◽  
Functional Differential

By employing the Krasnoselskii fixed point theorem, we establish some criteria for the existence of positive periodic solutions of a class ofn-dimension periodic functional differential equations with impulses, which improve the results of the literature.

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